Given:
The length of the prism is l = 1 3/4 mm.
The width of the prism is w = 2/3 mm.
The height of the prism is h = 2/3 mm.
The objective is to find the volume of the prism.
Explanation:
The general formula to find the volume of a rectangular prism is,
[tex]v=l\times w\times h\text{ . . . . .(1)}[/tex]On plugging the given values in equation (1),
[tex]v=1\frac{3}{4}\times\frac{2}{3}\times\frac{2}{3}[/tex]On further solving the above equation,
[tex]\begin{gathered} v=\frac{7}{4}\times\frac{2}{3}\times\frac{2}{3} \\ =\frac{28}{36} \\ =\frac{7}{9}mm^3 \end{gathered}[/tex]Hence, the volume of the rectangular prism is 7/9 cubic millimeters.